Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27195m |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20547418438575 = 36 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44714,3628937] |
[a1,a2,a3,a4,a6] |
Generators |
[81:694:1] |
Generators of the group modulo torsion |
j |
84033427451401/174650175 |
j-invariant |
L |
8.1342124449443 |
L(r)(E,1)/r! |
Ω |
0.68367760272569 |
Real period |
R |
0.9914776122199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585y2 3885d2 |
Quadratic twists by: -3 -7 |